1 Introduction

This tutorial is intended to be used “at a glance”:

  • It does not contain too much text
  • It contains almost only the essential commands
  • It does run through the whole workflow
  • It is the perfect trampoline to learn more in detail - as you can do in the full transcriptomics_practical document

You can consider this as a very much squeezed (yet well squeezed) and complete (yup!) version of the whole (the real, whole) analysis workflow when dealing with RNA-seq data.

Ready? Let’s go!

2 The whole game, in a nutshell

2.1 The dataset: macrophage

library("macrophage")
dir <- system.file("extdata", package = "macrophage")
coldata <- read.csv(file.path(dir, "coldata.csv"))[, c(1, 2, 3, 5)]
## how many samples do we have?
## what are the important experimental factors?
coldata
#             names sample_id line_id condition_name
# 1  SAMEA103885102    diku_A  diku_1          naive
# 2  SAMEA103885347    diku_B  diku_1           IFNg
# 3  SAMEA103885043    diku_C  diku_1         SL1344
# 4  SAMEA103885392    diku_D  diku_1    IFNg_SL1344
# 5  SAMEA103885182    eiwy_A  eiwy_1          naive
# 6  SAMEA103885136    eiwy_B  eiwy_1           IFNg
# 7  SAMEA103885413    eiwy_C  eiwy_1         SL1344
# 8  SAMEA103884967    eiwy_D  eiwy_1    IFNg_SL1344
# 9  SAMEA103885368    fikt_A  fikt_3          naive
# 10 SAMEA103885218    fikt_B  fikt_3           IFNg
# 11 SAMEA103885319    fikt_C  fikt_3         SL1344
# 12 SAMEA103885004    fikt_D  fikt_3    IFNg_SL1344
# 13 SAMEA103885284    ieki_A  ieki_2          naive
# 14 SAMEA103885059    ieki_B  ieki_2           IFNg
# 15 SAMEA103884898    ieki_C  ieki_2         SL1344
# 16 SAMEA103885157    ieki_D  ieki_2    IFNg_SL1344
# 17 SAMEA103885111    podx_A  podx_1          naive
# 18 SAMEA103884919    podx_B  podx_1           IFNg
# 19 SAMEA103885276    podx_C  podx_1         SL1344
# 20 SAMEA103885021    podx_D  podx_1    IFNg_SL1344
# 21 SAMEA103885262    qaqx_A  qaqx_1          naive
# 22 SAMEA103885228    qaqx_B  qaqx_1           IFNg
# 23 SAMEA103885308    qaqx_C  qaqx_1         SL1344
# 24 SAMEA103884949    qaqx_D  qaqx_1    IFNg_SL1344

coldata$files <- file.path(dir, "quants", coldata$names, "quant.sf.gz")
## these are the files output from salmon, containing all info on the quantifications
coldata$files
#  [1] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885102/quant.sf.gz"
#  [2] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885347/quant.sf.gz"
#  [3] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885043/quant.sf.gz"
#  [4] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885392/quant.sf.gz"
#  [5] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885182/quant.sf.gz"
#  [6] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885136/quant.sf.gz"
#  [7] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885413/quant.sf.gz"
#  [8] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103884967/quant.sf.gz"
#  [9] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885368/quant.sf.gz"
# [10] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885218/quant.sf.gz"
# [11] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885319/quant.sf.gz"
# [12] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885004/quant.sf.gz"
# [13] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885284/quant.sf.gz"
# [14] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885059/quant.sf.gz"
# [15] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103884898/quant.sf.gz"
# [16] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885157/quant.sf.gz"
# [17] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885111/quant.sf.gz"
# [18] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103884919/quant.sf.gz"
# [19] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885276/quant.sf.gz"
# [20] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885021/quant.sf.gz"
# [21] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885262/quant.sf.gz"
# [22] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885228/quant.sf.gz"
# [23] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103885308/quant.sf.gz"
# [24] "/Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/library/macrophage/extdata/quants/SAMEA103884949/quant.sf.gz"

suppressPackageStartupMessages({
  library("tximeta")
  library("DESeq2")
  library("org.Hs.eg.db")
  library("SummarizedExperiment")
})

## at the transcript level...
st <- tximeta(coldata = coldata, type = "salmon", dropInfReps = TRUE)
head(assay(st, "counts"), 3)
#                   SAMEA103885102 SAMEA103885347 SAMEA103885043 SAMEA103885392
# ENST00000456328.2         22.058         12.404           5.44          0.000
# ENST00000450305.2          0.000          0.000           0.00          0.000
# ENST00000488147.1        119.092        180.069         161.55         93.747
#                   SAMEA103885182 SAMEA103885136 SAMEA103885413 SAMEA103884967
# ENST00000456328.2            0.0         10.833          5.119          6.708
# ENST00000450305.2            0.0          0.000          0.000          0.000
# ENST00000488147.1          145.5        141.607        189.152         98.019
#                   SAMEA103885368 SAMEA103885218 SAMEA103885319 SAMEA103885004
# ENST00000456328.2          0.000          4.484          0.000          0.000
# ENST00000450305.2          0.000          0.000          0.000          0.000
# ENST00000488147.1        132.243         88.429         96.871         66.813
#                   SAMEA103885284 SAMEA103885059 SAMEA103884898 SAMEA103885157
# ENST00000456328.2         27.337         12.401          0.000          6.107
# ENST00000450305.2          0.000          0.000          0.000          0.000
# ENST00000488147.1        250.127        211.475        144.212        134.842
#                   SAMEA103885111 SAMEA103884919 SAMEA103885276 SAMEA103885021
# ENST00000456328.2         23.333         11.794          4.670          0.000
# ENST00000450305.2          0.000          0.000          0.000          0.000
# ENST00000488147.1        205.167        151.599        134.082         69.402
#                   SAMEA103885262 SAMEA103885228 SAMEA103885308 SAMEA103884949
# ENST00000456328.2          7.629          3.907          9.195          0.000
# ENST00000450305.2          0.000          0.000          0.000          0.000
# ENST00000488147.1        154.885        125.882        183.322         53.233
rowData(st)
# DataFrame with 205870 rows and 3 columns
#                       tx_id           gene_id           tx_name
#                   <integer>   <CharacterList>       <character>
# ENST00000456328.2         1 ENSG00000223972.5 ENST00000456328.2
# ENST00000450305.2         2 ENSG00000223972.5 ENST00000450305.2
# ENST00000488147.1      9483 ENSG00000227232.5 ENST00000488147.1
# ENST00000619216.1      9484 ENSG00000278267.1 ENST00000619216.1
# ENST00000473358.1         3 ENSG00000243485.5 ENST00000473358.1
# ...                     ...               ...               ...
# ENST00000361681.2    206692 ENSG00000198695.2 ENST00000361681.2
# ENST00000387459.1    206693 ENSG00000210194.1 ENST00000387459.1
# ENST00000361789.2    206684 ENSG00000198727.2 ENST00000361789.2
# ENST00000387460.2    206685 ENSG00000210195.2 ENST00000387460.2
# ENST00000387461.2    206694 ENSG00000210196.2 ENST00000387461.2
colData(st)
# DataFrame with 24 rows and 4 columns
#                         names   sample_id     line_id condition_name
#                   <character> <character> <character>    <character>
# SAMEA103885102 SAMEA103885102      diku_A      diku_1          naive
# SAMEA103885347 SAMEA103885347      diku_B      diku_1           IFNg
# SAMEA103885043 SAMEA103885043      diku_C      diku_1         SL1344
# SAMEA103885392 SAMEA103885392      diku_D      diku_1    IFNg_SL1344
# SAMEA103885182 SAMEA103885182      eiwy_A      eiwy_1          naive
# ...                       ...         ...         ...            ...
# SAMEA103885021 SAMEA103885021      podx_D      podx_1    IFNg_SL1344
# SAMEA103885262 SAMEA103885262      qaqx_A      qaqx_1          naive
# SAMEA103885228 SAMEA103885228      qaqx_B      qaqx_1           IFNg
# SAMEA103885308 SAMEA103885308      qaqx_C      qaqx_1         SL1344
# SAMEA103884949 SAMEA103884949      qaqx_D      qaqx_1    IFNg_SL1344

## at the gene level...
sg <- tximeta::summarizeToGene(st)
sg
# class: RangedSummarizedExperiment 
# dim: 58294 24 
# metadata(7): tximetaInfo quantInfo ... txdbInfo assignRanges
# assays(3): counts abundance length
# rownames(58294): ENSG00000000003.14 ENSG00000000005.5 ...
#   ENSG00000285993.1 ENSG00000285994.1
# rowData names(2): gene_id tx_ids
# colnames(24): SAMEA103885102 SAMEA103885347 ... SAMEA103885308
#   SAMEA103884949
# colData names(4): names sample_id line_id condition_name
## can you guess what happened?
sg <- tximeta::addIds(sg, "SYMBOL", gene = TRUE)
sg
# class: RangedSummarizedExperiment 
# dim: 58294 24 
# metadata(7): tximetaInfo quantInfo ... txdbInfo assignRanges
# assays(3): counts abundance length
# rownames(58294): ENSG00000000003.14 ENSG00000000005.5 ...
#   ENSG00000285993.1 ENSG00000285994.1
# rowData names(3): gene_id tx_ids SYMBOL
# colnames(24): SAMEA103885102 SAMEA103885347 ... SAMEA103885308
#   SAMEA103884949
# colData names(4): names sample_id line_id condition_name
head(rowData(sg))
# DataFrame with 6 rows and 3 columns
#                               gene_id
#                           <character>
# ENSG00000000003.14 ENSG00000000003.14
# ENSG00000000005.5   ENSG00000000005.5
# ENSG00000000419.12 ENSG00000000419.12
# ENSG00000000457.13 ENSG00000000457.13
# ENSG00000000460.16 ENSG00000000460.16
# ENSG00000000938.12 ENSG00000000938.12
#                                                                        tx_ids
#                                                               <CharacterList>
# ENSG00000000003.14  ENST00000612152.4,ENST00000373020.8,ENST00000614008.4,...
# ENSG00000000005.5                         ENST00000373031.4,ENST00000485971.1
# ENSG00000000419.12  ENST00000371588.9,ENST00000466152.5,ENST00000371582.8,...
# ENSG00000000457.13 ENST00000367771.10,ENST00000367770.5,ENST00000367772.8,...
# ENSG00000000460.16  ENST00000498289.5,ENST00000472795.5,ENST00000496973.5,...
# ENSG00000000938.12  ENST00000374005.7,ENST00000399173.5,ENST00000374004.5,...
#                         SYMBOL
#                    <character>
# ENSG00000000003.14      TSPAN6
# ENSG00000000005.5         TNMD
# ENSG00000000419.12        DPM1
# ENSG00000000457.13       SCYL3
# ENSG00000000460.16       FIRRM
# ENSG00000000938.12         FGR

## add gene symbols
sg <- tximeta::addIds(sg, "SYMBOL", gene = TRUE)
sg
# class: RangedSummarizedExperiment 
# dim: 58294 24 
# metadata(7): tximetaInfo quantInfo ... txdbInfo assignRanges
# assays(3): counts abundance length
# rownames(58294): ENSG00000000003.14 ENSG00000000005.5 ...
#   ENSG00000285993.1 ENSG00000285994.1
# rowData names(3): gene_id tx_ids SYMBOL
# colnames(24): SAMEA103885102 SAMEA103885347 ... SAMEA103885308
#   SAMEA103884949
# colData names(4): names sample_id line_id condition_name
head(rowData(sg))
# DataFrame with 6 rows and 3 columns
#                               gene_id
#                           <character>
# ENSG00000000003.14 ENSG00000000003.14
# ENSG00000000005.5   ENSG00000000005.5
# ENSG00000000419.12 ENSG00000000419.12
# ENSG00000000457.13 ENSG00000000457.13
# ENSG00000000460.16 ENSG00000000460.16
# ENSG00000000938.12 ENSG00000000938.12
#                                                                        tx_ids
#                                                               <CharacterList>
# ENSG00000000003.14  ENST00000612152.4,ENST00000373020.8,ENST00000614008.4,...
# ENSG00000000005.5                         ENST00000373031.4,ENST00000485971.1
# ENSG00000000419.12  ENST00000371588.9,ENST00000466152.5,ENST00000371582.8,...
# ENSG00000000457.13 ENST00000367771.10,ENST00000367770.5,ENST00000367772.8,...
# ENSG00000000460.16  ENST00000498289.5,ENST00000472795.5,ENST00000496973.5,...
# ENSG00000000938.12  ENST00000374005.7,ENST00000399173.5,ENST00000374004.5,...
#                         SYMBOL
#                    <character>
# ENSG00000000003.14      TSPAN6
# ENSG00000000005.5         TNMD
# ENSG00000000419.12        DPM1
# ENSG00000000457.13       SCYL3
# ENSG00000000460.16       FIRRM
# ENSG00000000938.12         FGR
colData(sg)
# DataFrame with 24 rows and 4 columns
#                         names   sample_id     line_id condition_name
#                   <character> <character> <character>    <character>
# SAMEA103885102 SAMEA103885102      diku_A      diku_1          naive
# SAMEA103885347 SAMEA103885347      diku_B      diku_1           IFNg
# SAMEA103885043 SAMEA103885043      diku_C      diku_1         SL1344
# SAMEA103885392 SAMEA103885392      diku_D      diku_1    IFNg_SL1344
# SAMEA103885182 SAMEA103885182      eiwy_A      eiwy_1          naive
# ...                       ...         ...         ...            ...
# SAMEA103885021 SAMEA103885021      podx_D      podx_1    IFNg_SL1344
# SAMEA103885262 SAMEA103885262      qaqx_A      qaqx_1          naive
# SAMEA103885228 SAMEA103885228      qaqx_B      qaqx_1           IFNg
# SAMEA103885308 SAMEA103885308      qaqx_C      qaqx_1         SL1344
# SAMEA103884949 SAMEA103884949      qaqx_D      qaqx_1    IFNg_SL1344

table(colData(sg)$condition_name)
# 
#        IFNg IFNg_SL1344       naive      SL1344 
#           6           6           6           6
table(colData(sg)$line_id)
# 
# diku_1 eiwy_1 fikt_3 ieki_2 podx_1 qaqx_1 
#      4      4      4      4      4      4
## what is our aim? Find DE genes by which design specification?

colData(sg)$condition_name <- factor(colData(sg)$condition_name)
colData(sg)$condition_name <- relevel(colData(sg)$condition_name, ref = "naive")
colData(sg)$condition_name
#  [1] naive       IFNg        SL1344      IFNg_SL1344 naive       IFNg       
#  [7] SL1344      IFNg_SL1344 naive       IFNg        SL1344      IFNg_SL1344
# [13] naive       IFNg        SL1344      IFNg_SL1344 naive       IFNg       
# [19] SL1344      IFNg_SL1344 naive       IFNg        SL1344      IFNg_SL1344
# Levels: naive IFNg IFNg_SL1344 SL1344

## here's the main container for all infos!
dds <- DESeqDataSet(sg, design = ~ line_id + condition_name)

dds
# class: DESeqDataSet 
# dim: 58294 24 
# metadata(8): tximetaInfo quantInfo ... assignRanges version
# assays(3): counts abundance avgTxLength
# rownames(58294): ENSG00000000003.14 ENSG00000000005.5 ...
#   ENSG00000285993.1 ENSG00000285994.1
# rowData names(3): gene_id tx_ids SYMBOL
# colnames(24): SAMEA103885102 SAMEA103885347 ... SAMEA103885308
#   SAMEA103884949
# colData names(4): names sample_id line_id condition_name
## all set!

2.2 Exploration, modeling, testing

nrow(dds)
# [1] 58294
table(rowSums(assay(dds, "counts")) == 0)
# 
# FALSE  TRUE 
# 38829 19465

keep <- rowSums(counts(dds)) > 1
dds <- dds[keep, ]
dim(dds)
# [1] 35683    24

## exploratory analysis and visualization
vsd <- DESeq2::vst(dds)
DESeq2::plotPCA(vsd, intgroup = "condition_name")

pcaExplorer::pcaplot(vsd, intgroup = "condition_name")


## differential expression analysis boils down to...
dds <- DESeq2::DESeq(dds)

DESeq2::plotDispEsts(dds)


## Default - SL1344 vs naive
res <- DESeq2::results(dds)
head(res)
# log2 fold change (MLE): condition name SL1344 vs naive 
# Wald test p-value: condition name SL1344 vs naive 
# DataFrame with 6 rows and 6 columns
#                     baseMean log2FoldChange     lfcSE      stat      pvalue
#                    <numeric>      <numeric> <numeric> <numeric>   <numeric>
# ENSG00000000003.14   171.782      0.1171248 0.3008327  0.389335 6.97028e-01
# ENSG00000000419.12   967.527      0.0886824 0.0860008  1.031181 3.02456e-01
# ENSG00000000457.13   681.637      0.7109442 0.1973877  3.601766 3.16062e-04
# ENSG00000000460.16   263.282     -1.0347169 0.2179499 -4.747499 2.05947e-06
# ENSG00000000938.12  2646.887      1.6453083 0.2348000  7.007275 2.43005e-12
# ENSG00000000971.15  3045.742      0.7794411 0.4980265  1.565059 1.17569e-01
#                           padj
#                      <numeric>
# ENSG00000000003.14 8.11132e-01
# ENSG00000000419.12 4.55113e-01
# ENSG00000000457.13 1.22290e-03
# ENSG00000000460.16 1.18399e-05
# ENSG00000000938.12 3.14455e-11
# ENSG00000000971.15 2.20491e-01

## We'll instead focus on IFNgamma vs naive
res <- DESeq2::results(dds, contrast = c("condition_name", "IFNg", "naive"))
head(res)
# log2 fold change (MLE): condition_name IFNg vs naive 
# Wald test p-value: condition name IFNg vs naive 
# DataFrame with 6 rows and 6 columns
#                     baseMean log2FoldChange     lfcSE      stat      pvalue
#                    <numeric>      <numeric> <numeric> <numeric>   <numeric>
# ENSG00000000003.14   171.782     -0.2829860 0.3010930 -0.939862 3.47288e-01
# ENSG00000000419.12   967.527      0.0383933 0.0856623  0.448194 6.54013e-01
# ENSG00000000457.13   681.637      1.2838945 0.1966270  6.529593 6.59486e-11
# ENSG00000000460.16   263.282     -1.4725128 0.2183088 -6.745092 1.52930e-11
# ENSG00000000938.12  2646.887      0.6747921 0.2351631  2.869464 4.11168e-03
# ENSG00000000971.15  3045.742      4.9869519 0.4966828 10.040518 1.01142e-23
#                           padj
#                      <numeric>
# ENSG00000000003.14 5.77116e-01
# ENSG00000000419.12 8.25573e-01
# ENSG00000000457.13 1.62287e-09
# ENSG00000000460.16 4.10702e-10
# ENSG00000000938.12 1.89738e-02
# ENSG00000000971.15 1.13504e-21
## what do these columns mean?

summary(res)
# 
# out of 35683 with nonzero total read count
# adjusted p-value < 0.1
# LFC > 0 (up)       : 3718, 10%
# LFC < 0 (down)     : 3437, 9.6%
# outliers [1]       : 0, 0%
# low counts [2]     : 12453, 35%
# (mean count < 2)
# [1] see 'cooksCutoff' argument of ?results
# [2] see 'independentFiltering' argument of ?results
hist(res$pvalue)

## Remove the genes that were filtered out in the independent filtering
hist(res$pvalue[!is.na(res$padj)])


## can we be more strict?

res.05 <- results(dds, alpha = 0.05, 
                  contrast = c("condition_name", "IFNg", "naive"))
table(res.05$padj < 0.05)
# 
# FALSE  TRUE 
# 16423  6115
## lower the false discovery rate threshold


resLFC1 <- results(dds, lfcThreshold = 1, 
                   contrast = c("condition_name", "IFNg", "naive"))
summary(resLFC1)
# 
# out of 35683 with nonzero total read count
# adjusted p-value < 0.1
# LFC > 1.00 (up)    : 748, 2.1%
# LFC < -1.00 (down) : 469, 1.3%
# outliers [1]       : 0, 0%
# low counts [2]     : 0, 0%
# (mean count < 0)
# [1] see 'cooksCutoff' argument of ?results
# [2] see 'independentFiltering' argument of ?results
table(resLFC1$padj < 0.1)
# 
# FALSE  TRUE 
# 34466  1217
## raise the log2 fold change threshold from 0 using the `lfcThreshold` argument of *results*

## checking individual genes
plotCounts(dds, gene = "ENSG00000126561.16", intgroup = "condition_name", 
           normalized = TRUE, transform = FALSE)


GeneTonic::gene_plot(dds, gene = "ENSG00000126561.16", intgroup = "condition_name", 
           normalized = TRUE, transform = FALSE)


## checking an overview on all genes
DESeq2::plotMA(res, ylim = c(-5, 5))


library("apeglm")
DESeq2::resultsNames(dds)
# [1] "Intercept"                           "line_id_eiwy_1_vs_diku_1"           
# [3] "line_id_fikt_3_vs_diku_1"            "line_id_ieki_2_vs_diku_1"           
# [5] "line_id_podx_1_vs_diku_1"            "line_id_qaqx_1_vs_diku_1"           
# [7] "condition_name_IFNg_vs_naive"        "condition_name_IFNg_SL1344_vs_naive"
# [9] "condition_name_SL1344_vs_naive"
res_ape <- DESeq2::lfcShrink(dds, coef = "condition_name_IFNg_vs_naive", type = "apeglm")
DESeq2::plotMA(res_ape, ylim = c(-5, 5))

## what happened here?

library("pheatmap")
stopifnot(rownames(vsd) == rownames(res))

## looking at the top 30 DE genes
mat <- assay(vsd)
rownames(mat) <- rowData(vsd)$SYMBOL
mat <- mat[head(order(res$padj), 30), ]
mat <- mat - rowMeans(mat)
df <- as.data.frame(colData(vsd)[, c("condition_name"), drop = FALSE])
pheatmap(mat, annotation_col = df)


## looking at the most variable ones
mat <- assay(vsd)
rownames(mat) <- rowData(vsd)$SYMBOL
topVarGenes <- head(order(rowVars(mat), decreasing = TRUE), 30)
mat <- mat[topVarGenes, ]
mat <- mat - rowMeans(mat)
df <- as.data.frame(colData(vsd)[, c("condition_name"), drop = FALSE])
pheatmap(mat, annotation_col = df)

## is there something in common here?

2.3 Making sense out of so many genes

library("GeneTonic")

res$symbol <- rowData(dds)$SYMBOL

de_symbols_IFNg_vs_naive <- deseqresult2df(res, FDR = 0.05)$symbol
bg_ids <- rowData(dds)$SYMBOL[rowSums(counts(dds)) > 0]

library("topGO")
topgo_DE_macrophage_IFNg_vs_naive <- pcaExplorer::topGOtable(
    DEgenes = de_symbols_IFNg_vs_naive,
    BGgenes = bg_ids,
    ontology = "BP",
    mapping = "org.Hs.eg.db",
    geneID = "symbol",
    topTablerows = 500
)

library("clusterProfiler")
clupro_DE_macrophage_IFNg_vs_naive <- clusterProfiler::enrichGO(
    gene = de_symbols_IFNg_vs_naive,
    universe = bg_ids,
    keyType = "SYMBOL",
    OrgDb = org.Hs.eg.db,
    ont = "BP",
    pAdjustMethod = "BH",
    pvalueCutoff = 0.01,
    qvalueCutoff = 0.05,
    readable = FALSE
)

DT::datatable(topgo_DE_macrophage_IFNg_vs_naive[1:10,])
DT::datatable(as.data.frame(clupro_DE_macrophage_IFNg_vs_naive)[1:10,])

2.4 Ooooh so many tables, how to avoid madness?

## can I export these tables to text/excel?
stopifnot(all(rownames(res) == rownames(dds)))
res$symbol <- rowData(dds)$SYMBOL

resOrdered <- res[order(res$padj), ]
head(resOrdered)
# log2 fold change (MLE): condition_name IFNg vs naive 
# Wald test p-value: condition name IFNg vs naive 
# DataFrame with 6 rows and 7 columns
#                     baseMean log2FoldChange     lfcSE      stat       pvalue
#                    <numeric>      <numeric> <numeric> <numeric>    <numeric>
# ENSG00000125347.13 30487.254        5.55915  0.218390   25.4551 6.19761e-143
# ENSG00000111181.12   687.519        4.70999  0.195911   24.0415 1.02514e-127
# ENSG00000162645.12 36639.987        6.66498  0.286603   23.2551 1.26442e-119
# ENSG00000137496.17  7118.885        4.05787  0.177049   22.9195 2.97302e-116
# ENSG00000145365.10  3642.657        5.19246  0.237141   21.8961 2.82829e-106
# ENSG00000204257.14  1906.261        4.07091  0.190575   21.3612 3.06785e-101
#                            padj      symbol
#                       <numeric> <character>
# ENSG00000125347.13 1.43971e-138        IRF1
# ENSG00000111181.12 1.19070e-123     SLC6A12
# ENSG00000162645.12 9.79081e-116        GBP2
# ENSG00000137496.17 1.72658e-112      IL18BP
# ENSG00000145365.10 1.31402e-102        TIFA
# ENSG00000204257.14  1.18777e-97     HLA-DMA

resOrderedDF <- as.data.frame(resOrdered)[seq_len(100), ]
write.table(cbind(id = rownames(resOrderedDF), resOrderedDF), 
            file = "myderesults.txt", quote = FALSE, sep = "\t",
            row.names = FALSE)

## can we streamline things here?
res_enrich_topGO <- shake_topGOtableResult(topgo_DE_macrophage_IFNg_vs_naive)
res_enrich_clupro <- shake_enrichResult(clupro_DE_macrophage_IFNg_vs_naive)

gtl_macrophage <- GeneTonicList(
    dds = dds,
    res_de = res,
    res_enrich = res_enrich_clupro,
    annotation_obj = data.frame(
        gene_id = rowData(dds)$gene_id,
        gene_name = rowData(dds)$SYMBOL
    )
)

## saving this
# saveRDS(gtl_macrophage, "gtl_macrophage.RDS")
## reloading this
# gtl_macrophage <- readRDS("gtl_macrophage.RDS")
## and that is it!
# GeneTonic(gtl = gtl_macrophage)
## or if expecting to upload at runtime... (e.g. used as a server-like app)
# GeneTonic()

Some quiz questions as we proceed

  • Can you start your DE analysis with normalized values such as TPMs?
  • Where can I store additional information about the samples?
  • Where can I store additional information about the features? (What can your features be?)
  • Can you think of a way to read in the required information if you start (AAAAAAAH) from Excel files?
  • How important is the definition of the design?
  • How do I quantify the effect size? “In which direction” is this to be interpreted?
  • Is it possible to change the reference in the comparison?
  • If you have multiple experimental factors, how should you proceed? Think of 2 condition-2 tissues/cell types
  • Removing unexpressed features might influence what you do when integrating different analyses. How could we proceed in such cases?
  • What if I download publicly available data and some genes are missing? What can be some of the possible reasons for this?
  • What if I do not see a clear separation in my PCA plot? Is it still ok to proceed?
  • What should I do if I detect/am aware of a batch effect?
  • Raw data vs normalized data vs transformed data: Which one should I use in “all the cases” I could encounter?
  • “I have seen people using tSNE/UMAP in single cell data, why shouldn’t we do the same here?”
  • A feature being called DE: “Why is my expected shortlisted gene not showing up?” What possible factors can play a role in the feature being above or below the significance threshold?
  • Shall I subset my DE results to the genes only detected as DE? Why?
  • The results between DESeq2 and edgeR might differ. Which one is “correct”? How can you better appreciate the existing commonalities and differences in the DE analysis?
  • The thought above is valid also for the process of integrating different DE analyses (i.e. using the same method, but “comparing different groups”). What can you think of to represent these results?
  • Is visualization of data and results really that important?
  • Volcano plot or MA plot, what is “better”? Think of the information every plot type displays
  • Can I always plot expression values for a single gene, or for a set of genes (i.e. independently of their DE status)?
  • What can I do if I want to know more on one “novel” gene, possibly relevant with my experiment?
  • Genes or geneset: What should I use as a key to interpretation?
  • What is the main advantage of using standardized objects vs a bunch of tables?
  • “Ok, I would still like your Bioinformatics group on board for my project. What should I expect to happen?”

Session information

sessionInfo()
# R version 4.4.0 (2024-04-24)
# Platform: x86_64-apple-darwin20
# Running under: macOS Monterey 12.7.1
# 
# Matrix products: default
# BLAS:   /System/Library/Frameworks/Accelerate.framework/Versions/A/Frameworks/vecLib.framework/Versions/A/libBLAS.dylib 
# LAPACK: /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRlapack.dylib;  LAPACK version 3.12.0
# 
# locale:
# [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
# 
# time zone: Europe/Berlin
# tzcode source: internal
# 
# attached base packages:
# [1] stats4    stats     graphics  grDevices utils     datasets  methods  
# [8] base     
# 
# other attached packages:
#  [1] SingleR_2.6.0               celldex_1.14.0             
#  [3] scran_1.32.0                scater_1.32.0              
#  [5] scuttle_1.14.0              TENxPBMCData_1.22.0        
#  [7] HDF5Array_1.32.0            rhdf5_2.48.0               
#  [9] DelayedArray_0.30.1         SparseArray_1.4.8          
# [11] S4Arrays_1.4.1              abind_1.4-5                
# [13] Matrix_1.7-0                lubridate_1.9.3            
# [15] forcats_1.0.0               stringr_1.5.1              
# [17] dplyr_1.1.4                 purrr_1.0.2                
# [19] readr_2.1.5                 tidyr_1.3.1                
# [21] tibble_3.2.1                tidyverse_2.0.0            
# [23] ggthemes_5.1.0              gapminder_1.0.0            
# [25] ggplot2_3.5.1               MASS_7.3-61                
# [27] clusterProfiler_4.12.0      topGO_2.56.0               
# [29] SparseM_1.83                GO.db_3.19.1               
# [31] graph_1.82.0                GeneTonic_2.8.0            
# [33] iSEEu_1.16.0                iSEEhex_1.6.0              
# [35] iSEE_2.16.0                 SingleCellExperiment_1.26.0
# [37] pheatmap_1.0.12             apeglm_1.26.1              
# [39] pcaExplorer_2.30.0          bigmemory_4.6.4            
# [41] edgeR_4.2.0                 limma_3.60.3               
# [43] ExploreModelMatrix_1.16.0   GenomicFeatures_1.57.0     
# [45] org.Hs.eg.db_3.19.1         AnnotationDbi_1.66.0       
# [47] DESeq2_1.44.0               SummarizedExperiment_1.34.0
# [49] Biobase_2.64.0              MatrixGenerics_1.16.0      
# [51] matrixStats_1.3.0           GenomicRanges_1.56.1       
# [53] GenomeInfoDb_1.40.1         IRanges_2.38.0             
# [55] S4Vectors_0.42.0            BiocGenerics_0.50.0        
# [57] tximeta_1.22.1              macrophage_1.20.0          
# [59] rmarkdown_2.27              knitr_1.47                 
# [61] BiocStyle_2.32.1           
# 
# loaded via a namespace (and not attached):
#   [1] igraph_2.0.3              ica_1.0-3                
#   [3] plotly_4.10.4             ca_0.71.1                
#   [5] listviewer_4.0.0          zlibbioc_1.50.0          
#   [7] tidyselect_1.2.1          bit_4.0.5                
#   [9] doParallel_1.0.17         clue_0.3-65              
#  [11] lattice_0.22-6            rjson_0.2.21             
#  [13] blob_1.2.4                rngtools_1.5.2           
#  [15] parallel_4.4.0            png_0.1-8                
#  [17] cli_3.6.2                 ggplotify_0.1.2          
#  [19] registry_0.5-1            GOstats_2.70.0           
#  [21] ProtGenerics_1.36.0       rintrojs_0.3.4           
#  [23] goftest_1.2-3             BiocIO_1.14.0            
#  [25] bs4Dash_2.3.3             bluster_1.14.0           
#  [27] BiocNeighbors_1.22.0      uwot_0.2.2               
#  [29] tximport_1.32.0           dendextend_1.17.1        
#  [31] shadowtext_0.1.3          curl_5.2.1               
#  [33] mime_0.12                 evaluate_0.24.0          
#  [35] tidytree_0.4.6            leiden_0.4.3.1           
#  [37] ComplexHeatmap_2.20.0     stringi_1.8.4            
#  [39] XML_3.99-0.16.1           httpuv_1.6.15            
#  [41] magrittr_2.0.3            rappdirs_0.3.3           
#  [43] splines_4.4.0             mclust_6.1.1             
#  [45] ggraph_2.2.1              webshot_0.5.5            
#  [47] DT_0.33                   sctransform_0.4.1        
#  [49] ggbeeswarm_0.7.2          DBI_1.2.3                
#  [51] jquerylib_0.1.4           genefilter_1.86.0        
#  [53] withr_3.0.0               emdbook_1.3.13           
#  [55] lmtest_0.9-40             enrichplot_1.24.0        
#  [57] RBGL_1.80.0               GSEABase_1.66.0          
#  [59] bdsmatrix_1.3-7           tidygraph_1.3.1          
#  [61] formatR_1.14              colourpicker_1.3.0       
#  [63] rtracklayer_1.64.0        BiocManager_1.30.23      
#  [65] htmlwidgets_1.6.4         fs_1.6.4                 
#  [67] biomaRt_2.60.0            ggrepel_0.9.5            
#  [69] labeling_0.4.3            shinycssloaders_1.0.0    
#  [71] reticulate_1.38.0         annotate_1.82.0          
#  [73] hexbin_1.28.3             zoo_1.8-12               
#  [75] XVector_0.44.0            UCSC.utils_1.0.0         
#  [77] timechange_0.3.0          foreach_1.5.2            
#  [79] fansi_1.0.6               patchwork_1.2.0          
#  [81] visNetwork_2.1.2          grid_4.4.0               
#  [83] data.table_1.15.4         ggtree_3.12.0            
#  [85] seriation_1.5.5           RSpectra_0.16-1          
#  [87] irlba_2.3.5.1             alabaster.schemas_1.4.0  
#  [89] fastDummies_1.7.3         gridGraphics_0.5-1       
#  [91] lazyeval_0.2.2            yaml_2.3.8               
#  [93] survival_3.7-0            scattermore_1.2          
#  [95] BiocVersion_3.19.1        crayon_1.5.3             
#  [97] RcppAnnoy_0.0.22          progressr_0.14.0         
#  [99] RColorBrewer_1.1-3        tweenr_2.0.3             
# [101] later_1.3.2               Rgraphviz_2.48.0         
# [103] ggridges_0.5.6            codetools_0.2-20         
# [105] base64enc_0.1-3           GlobalOptions_0.1.2      
# [107] Seurat_5.1.0              KEGGREST_1.44.1          
# [109] bbmle_1.0.25.1            Rtsne_0.17               
# [111] shape_1.4.6.1             icons_0.2.0              
# [113] Rsamtools_2.20.0          filelock_1.0.3           
# [115] shinyBS_0.61.1            pkgconfig_2.0.3          
# [117] xml2_1.3.6                GenomicAlignments_1.40.0 
# [119] aplot_0.2.3               alabaster.base_1.4.1     
# [121] spatstat.sparse_3.1-0     ape_5.8                  
# [123] viridisLite_0.4.2         gridBase_0.4-7           
# [125] xtable_1.8-4              Category_2.70.0          
# [127] highr_0.11                plyr_1.8.9               
# [129] httr_1.4.7                globals_0.16.3           
# [131] tools_4.4.0               SeuratObject_5.0.2       
# [133] beeswarm_0.4.0            AnnotationForge_1.46.0   
# [135] nlme_3.1-165              xaringan_0.30            
# [137] HDO.db_0.99.1             dbplyr_2.5.0             
# [139] ExperimentHub_2.12.0      shinyjs_2.1.0            
# [141] crosstalk_1.2.1           ComplexUpset_1.3.3       
# [143] assertthat_0.2.1          digest_0.6.35            
# [145] numDeriv_2016.8-1.1       bookdown_0.39            
# [147] farver_2.1.2              tzdb_0.4.0               
# [149] AnnotationFilter_1.28.0   reshape2_1.4.4           
# [151] yulab.utils_0.1.4         viridis_0.6.5            
# [153] glue_1.7.0                cachem_1.1.0             
# [155] BiocFileCache_2.12.0      polyclip_1.10-6          
# [157] generics_0.1.3            Biostrings_2.72.1        
# [159] dynamicTreeCut_1.63-1     mvtnorm_1.2-5            
# [161] parallelly_1.37.1         txdbmaker_1.0.0          
# [163] statmod_1.5.0             RcppHNSW_0.6.0           
# [165] ScaledMatrix_1.12.0       pbapply_1.7-2            
# [167] httr2_1.0.1               spam_2.10-0              
# [169] backbone_2.1.4            vroom_1.6.5              
# [171] gson_0.1.0                dqrng_0.4.1              
# [173] utf8_1.2.4                graphlayouts_1.1.1       
# [175] alabaster.se_1.4.1        fontawesome_0.5.2        
# [177] gridExtra_2.3             shiny_1.8.1.1            
# [179] GenomeInfoDbData_1.2.12   rhdf5filters_1.16.0      
# [181] RCurl_1.98-1.14           memoise_2.0.1            
# [183] scales_1.3.0              threejs_0.3.3            
# [185] gypsum_1.0.1              future_1.33.2            
# [187] RANN_2.6.1                spatstat.data_3.1-2      
# [189] bigmemory.sri_0.1.8       rstudioapi_0.16.0        
# [191] cluster_2.1.6             spatstat.utils_3.0-5     
# [193] fitdistrplus_1.1-11       hms_1.1.3                
# [195] munsell_0.5.1             cowplot_1.1.3            
# [197] colorspace_2.1-0          rlang_1.1.4              
# [199] DelayedMatrixStats_1.26.0 sparseMatrixStats_1.16.0 
# [201] shinyWidgets_0.8.6        dotCall64_1.1-1          
# [203] shinydashboard_0.7.2      ggforce_0.4.2            
# [205] circlize_0.4.16           mgcv_1.9-1               
# [207] xfun_0.45                 alabaster.matrix_1.4.1   
# [209] heatmaply_1.5.0           coda_0.19-4.1            
# [211] iterators_1.0.14          GOSemSim_2.30.0          
# [213] treeio_1.28.0             Rhdf5lib_1.26.0          
# [215] bitops_1.0-7              promises_1.3.0           
# [217] scatterpie_0.2.3          RSQLite_2.3.7            
# [219] qvalue_2.36.0             TSP_1.2-4                
# [221] fgsea_1.30.0              compiler_4.4.0           
# [223] alabaster.ranges_1.4.1    prettyunits_1.2.0        
# [225] beachmat_2.20.0           listenv_0.9.1            
# [227] Rcpp_1.0.12               tippy_0.1.0              
# [229] tensor_1.5                AnnotationHub_3.12.0     
# [231] BiocSingular_1.20.0       progress_1.2.3           
# [233] uuid_1.2-0                BiocParallel_1.38.0      
# [235] spatstat.random_3.2-3     archive_1.1.8            
# [237] R6_2.5.1                  fastmap_1.2.0            
# [239] fastmatch_1.1-4           ROCR_1.0-11              
# [241] vipor_0.4.7               ensembldb_2.28.0         
# [243] rsvd_1.0.5                gtable_0.3.5             
# [245] shinyAce_0.4.2            KernSmooth_2.23-24       
# [247] miniUI_0.1.1.1            deldir_2.0-4             
# [249] htmltools_0.5.8.1         bit64_4.0.5              
# [251] spatstat.explore_3.2-7    lifecycle_1.0.4          
# [253] restfulr_0.0.15           sass_0.4.9               
# [255] vctrs_0.6.5               rsconnect_1.3.1          
# [257] spatstat.geom_3.2-9       DOSE_3.30.1              
# [259] NMF_0.27                  ggfun_0.1.5              
# [261] emo_0.0.0.9000            sp_2.1-4                 
# [263] future.apply_1.11.2       bslib_0.7.0              
# [265] pillar_1.9.0              metapod_1.12.0           
# [267] locfit_1.5-9.9            jsonlite_1.8.8           
# [269] expm_0.999-9              GetoptLong_1.0.5
---
title: >
  Transcriptome Data Analysis - hands-on session - IN A GLANCE
subtitle: >
  MSE - Module Genetic Epidemiology
  <p align="center">
  </p>
  <a href="https://www.unimedizin-mainz.de/imbei/startseite/mse/"><img src="images/mse_logo.jpg" alt="" height="100"/></a>
author:
- name: <a href="https://federicomarini.github.io">Federico Marini (marinif@uni-mainz.de)</a><br><a href="https://www.unimedizin-mainz.de/imbei/">IMBEI, University Medical Center Mainz</a><br><a href="https://twitter.com/FedeBioinfo">`r icons::fontawesome('twitter')` `@FedeBioinfo`</a>
- name: Alicia Schulze (alpoplaw@uni-mainz.de)<br><a href="https://www.unimedizin-mainz.de/imbei/">IMBEI, University Medical Center Mainz</a><br>
date: "2024/07/03-04"
output: 
  bookdown::html_document2:
    toc: true
    toc_float: true
    theme: cosmo
    code_folding: show
    code_download: true
editor_options: 
  chunk_output_type: inline
bibliography: references.bib
---

```{r setup, include = FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#",
  error = FALSE,
  warning = FALSE,
  message = FALSE,
  fig.width = 10, 
  fig.height = 8
)
```

<!-- <script type="text/javascript" -->
<!--   src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"> -->
<!-- </script> -->


```{r style, echo=FALSE, message=FALSE, warning=FALSE, results="asis", eval = TRUE}
suppressPackageStartupMessages({
  library(BiocStyle)
  library(knitr)
  library(rmarkdown)
})
options(width = 80)
```

# Introduction

This tutorial is intended to be used "at a glance":

* It does not contain too much text
* It contains almost only the essential commands
* It does run through the whole workflow
* It is the perfect trampoline to learn more in detail - as you can do in the full `transcriptomics_practical` document

You can consider this as a very much squeezed (yet well squeezed) and complete (yup!) version of the whole (the real, whole) analysis workflow when dealing with RNA-seq data.

Ready? Let's go!

# The whole game, in a nutshell

## The dataset: `macrophage`

```{r thedataset}
library("macrophage")
dir <- system.file("extdata", package = "macrophage")
coldata <- read.csv(file.path(dir, "coldata.csv"))[, c(1, 2, 3, 5)]
## how many samples do we have?
## what are the important experimental factors?
coldata

coldata$files <- file.path(dir, "quants", coldata$names, "quant.sf.gz")
## these are the files output from salmon, containing all info on the quantifications
coldata$files

suppressPackageStartupMessages({
  library("tximeta")
  library("DESeq2")
  library("org.Hs.eg.db")
  library("SummarizedExperiment")
})

## at the transcript level...
st <- tximeta(coldata = coldata, type = "salmon", dropInfReps = TRUE)
head(assay(st, "counts"), 3)
rowData(st)
colData(st)

## at the gene level...
sg <- tximeta::summarizeToGene(st)
sg
## can you guess what happened?
sg <- tximeta::addIds(sg, "SYMBOL", gene = TRUE)
sg
head(rowData(sg))

## add gene symbols
sg <- tximeta::addIds(sg, "SYMBOL", gene = TRUE)
sg
head(rowData(sg))
colData(sg)

table(colData(sg)$condition_name)
table(colData(sg)$line_id)
## what is our aim? Find DE genes by which design specification?

colData(sg)$condition_name <- factor(colData(sg)$condition_name)
colData(sg)$condition_name <- relevel(colData(sg)$condition_name, ref = "naive")
colData(sg)$condition_name

## here's the main container for all infos!
dds <- DESeqDataSet(sg, design = ~ line_id + condition_name)

dds
## all set!
```

## Exploration, modeling, testing

```{r emt}
nrow(dds)
table(rowSums(assay(dds, "counts")) == 0)

keep <- rowSums(counts(dds)) > 1
dds <- dds[keep, ]
dim(dds)

## exploratory analysis and visualization
vsd <- DESeq2::vst(dds)
DESeq2::plotPCA(vsd, intgroup = "condition_name")
pcaExplorer::pcaplot(vsd, intgroup = "condition_name")

## differential expression analysis boils down to...
dds <- DESeq2::DESeq(dds)

DESeq2::plotDispEsts(dds)

## Default - SL1344 vs naive
res <- DESeq2::results(dds)
head(res)

## We'll instead focus on IFNgamma vs naive
res <- DESeq2::results(dds, contrast = c("condition_name", "IFNg", "naive"))
head(res)
## what do these columns mean?

summary(res)
hist(res$pvalue)
## Remove the genes that were filtered out in the independent filtering
hist(res$pvalue[!is.na(res$padj)])

## can we be more strict?

res.05 <- results(dds, alpha = 0.05, 
                  contrast = c("condition_name", "IFNg", "naive"))
table(res.05$padj < 0.05)
## lower the false discovery rate threshold


resLFC1 <- results(dds, lfcThreshold = 1, 
                   contrast = c("condition_name", "IFNg", "naive"))
summary(resLFC1)
table(resLFC1$padj < 0.1)
## raise the log2 fold change threshold from 0 using the `lfcThreshold` argument of *results*

## checking individual genes
plotCounts(dds, gene = "ENSG00000126561.16", intgroup = "condition_name", 
           normalized = TRUE, transform = FALSE)

GeneTonic::gene_plot(dds, gene = "ENSG00000126561.16", intgroup = "condition_name", 
           normalized = TRUE, transform = FALSE)

## checking an overview on all genes
DESeq2::plotMA(res, ylim = c(-5, 5))

library("apeglm")
DESeq2::resultsNames(dds)
res_ape <- DESeq2::lfcShrink(dds, coef = "condition_name_IFNg_vs_naive", type = "apeglm")
DESeq2::plotMA(res_ape, ylim = c(-5, 5))
## what happened here?

library("pheatmap")
stopifnot(rownames(vsd) == rownames(res))

## looking at the top 30 DE genes
mat <- assay(vsd)
rownames(mat) <- rowData(vsd)$SYMBOL
mat <- mat[head(order(res$padj), 30), ]
mat <- mat - rowMeans(mat)
df <- as.data.frame(colData(vsd)[, c("condition_name"), drop = FALSE])
pheatmap(mat, annotation_col = df)

## looking at the most variable ones
mat <- assay(vsd)
rownames(mat) <- rowData(vsd)$SYMBOL
topVarGenes <- head(order(rowVars(mat), decreasing = TRUE), 30)
mat <- mat[topVarGenes, ]
mat <- mat - rowMeans(mat)
df <- as.data.frame(colData(vsd)[, c("condition_name"), drop = FALSE])
pheatmap(mat, annotation_col = df)
## is there something in common here?
```

## Making sense out of so many genes

```{r enrichgt}
library("GeneTonic")

res$symbol <- rowData(dds)$SYMBOL

de_symbols_IFNg_vs_naive <- deseqresult2df(res, FDR = 0.05)$symbol
bg_ids <- rowData(dds)$SYMBOL[rowSums(counts(dds)) > 0]

library("topGO")
topgo_DE_macrophage_IFNg_vs_naive <- pcaExplorer::topGOtable(
    DEgenes = de_symbols_IFNg_vs_naive,
    BGgenes = bg_ids,
    ontology = "BP",
    mapping = "org.Hs.eg.db",
    geneID = "symbol",
    topTablerows = 500
)

library("clusterProfiler")
clupro_DE_macrophage_IFNg_vs_naive <- clusterProfiler::enrichGO(
    gene = de_symbols_IFNg_vs_naive,
    universe = bg_ids,
    keyType = "SYMBOL",
    OrgDb = org.Hs.eg.db,
    ont = "BP",
    pAdjustMethod = "BH",
    pvalueCutoff = 0.01,
    qvalueCutoff = 0.05,
    readable = FALSE
)

DT::datatable(topgo_DE_macrophage_IFNg_vs_naive[1:10,])
DT::datatable(as.data.frame(clupro_DE_macrophage_IFNg_vs_naive)[1:10,])
```

## Ooooh so many tables, how to avoid madness?

```{r exportthings}
## can I export these tables to text/excel?
stopifnot(all(rownames(res) == rownames(dds)))
res$symbol <- rowData(dds)$SYMBOL

resOrdered <- res[order(res$padj), ]
head(resOrdered)

resOrderedDF <- as.data.frame(resOrdered)[seq_len(100), ]
write.table(cbind(id = rownames(resOrderedDF), resOrderedDF), 
            file = "myderesults.txt", quote = FALSE, sep = "\t",
            row.names = FALSE)

## can we streamline things here?
res_enrich_topGO <- shake_topGOtableResult(topgo_DE_macrophage_IFNg_vs_naive)
res_enrich_clupro <- shake_enrichResult(clupro_DE_macrophage_IFNg_vs_naive)

gtl_macrophage <- GeneTonicList(
    dds = dds,
    res_de = res,
    res_enrich = res_enrich_clupro,
    annotation_obj = data.frame(
        gene_id = rowData(dds)$gene_id,
        gene_name = rowData(dds)$SYMBOL
    )
)

## saving this
# saveRDS(gtl_macrophage, "gtl_macrophage.RDS")
## reloading this
# gtl_macrophage <- readRDS("gtl_macrophage.RDS")
## and that is it!
# GeneTonic(gtl = gtl_macrophage)
## or if expecting to upload at runtime... (e.g. used as a server-like app)
# GeneTonic()
```


## Some quiz questions as we proceed{-}

* Can you start your DE analysis with normalized values such as TPMs?
* Where can I store additional information about the samples?
* Where can I store additional information about the features? (What can your features be?)
* Can you think of a way to read in the required information if you start (AAAAAAAH) from Excel files?
* How important is the definition of the design?
* How do I quantify the effect size? "In which direction" is this to be interpreted?
* Is it possible to change the reference in the comparison?
* If you have multiple experimental factors, how should you proceed? Think of 2 condition-2 tissues/cell types
* Removing unexpressed features might influence what you do when integrating different analyses. How could we proceed in such cases?
* What if I download publicly available data and some genes are missing? What can be some of the possible reasons for this? 
* What if I do not see a clear separation in my PCA plot? Is it still ok to proceed?
* What should I do if I detect/am aware of a batch effect?
* Raw data vs normalized data vs transformed data: Which one should I use in "all the cases" I could encounter?
* "I have seen people using tSNE/UMAP in single cell data, why shouldn't we do the same here?"
* A feature being called DE: "Why is my expected shortlisted gene not showing up?" What possible factors can play a role in the feature being above or below the significance threshold?
* Shall I subset my DE results to the genes only detected as DE? Why?
* The results between DESeq2 and edgeR might differ. Which one is "correct"? How can you better appreciate the existing commonalities and differences in the DE analysis?
* The thought above is valid also for the process of integrating different DE analyses (i.e. using the same method, but "comparing different groups"). What can you think of to represent these results?
* Is visualization of data and results *really that important*?
* Volcano plot or MA plot, what is "better"? Think of the information every plot type displays
* Can I always plot expression values for a single gene, or for a set of genes (i.e. independently of their DE status)?
* What can I do if I want to know more on one "novel" gene, possibly relevant with my experiment?
* Genes or geneset: What should I use as a key to interpretation?
* What is the main advantage of using standardized objects vs a bunch of tables?
* "Ok, I would still like your Bioinformatics group on board for my project. What should I expect to happen?"

# Session information {-}

```{r sessioninfo}
sessionInfo()
```

